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211211021221122 = 23132617337593019
BaseRepresentation
bin110000000001100001100101…
…111001000111110100000010
31000200211120120012221110112010
4300001201211321013310002
5210140440132413033442
62025113000442113350
762326331000344146
oct6001414571076402
91020746505843463
10211211021221122
1161331100245a6a
121b83213b7ab856
1390b1163149900
143a2294ccb3226
15196413b54eb9c
hexc01865e47d02

211211021221122 has 48 divisors (see below), whose sum is σ = 458156940046560. Its totient is φ = 64882677315456.

The previous prime is 211211021221111. The next prime is 211211021221133. The reversal of 211211021221122 is 221122120112112.

It is an interprime number because it is at equal distance from previous prime (211211021221111) and next prime (211211021221133).

It is a super-2 number, since 2×2112110212211222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168170872 + ... + 169422147.

It is an arithmetic number, because the mean of its divisors is an integer number (9544936250970).

Almost surely, 2211211021221122 is an apocalyptic number.

211211021221122 is an abundant number, since it is smaller than the sum of its proper divisors (246945918825438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211211021221122 is a wasteful number, since it uses less digits than its factorization.

211211021221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337593667 (or 337593654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211211021221122 its reverse (221122120112112), we get a palindrome (432333141333234).

The spelling of 211211021221122 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 617 1014 1234 1851 3702 8021 16042 24063 48126 104273 208546 312819 625638 337593019 675186038 1012779057 2025558114 4388709247 8777418494 13166127741 26332255482 57053220211 114106440422 171159660633 208294892723 342319321266 416589785446 624884678169 1249769356338 2707833605399 5415667210798 8123500816197 16247001632394 35201836870187 70403673740374 105605510610561 211211021221122